This might be a silly question, but is it possible to see AI moves during the game? As in if I have line of sight with 2 AIs fighting I can see the actual battle, not just the result?

Nope, can't see the AI battles.

This might be a silly question, but is it possible to see AI moves during the game? As in if I have line of sight with 2 AIs fighting I can see the actual battle, not just the result?

if there is a abillity to do so check in the options in-game

Turn on "show enemy moves" and "show friendly moves" under Options; do not select "quick combat"; get either a line of sight or a unit into the war zone; if then there is a fight within the visible zone, you will see it as a brief flurry of action. Determining the outcome can be difficult, though, since the moment the action is over the view shifts to somewhere else. Combats between other civs do not get reported except as "Rome has been razed by the Zulus" or similarly on the fall of a city.